Ask question

Ask question

All categories

3 years ago

5

3 adult tickets and 1 child ticket to a play cost $38. 3 adult and 3 children tickets cost $52. what does each ticket cost?

1 answer:

babymother [125]3 years ago

5 0

A= adult
C= child

3A+C = 38.3
A+3C = 52

There is no logical way to find the value of each other than guess-and-check.

You might be interested in

Lisa has 2 red dresses, 3 green dresses and x blue dresses hanging in her closet. If lisa chooses one dress at random, the proba

Vladimir79 [104]

Answer:

the dess was actually blue and black

Step-by-step explanation:

6 0

3 years ago

Graph x + x is less than 2 x

Svet_ta [14]

Answer:

x+x=2x

Step-by-step explanation:

3 0

3 years ago

On a hot Saturday morning while people are working inside, the air conditioner keeps the temperature inside the building at 24

Helen [10]

Answer:

30.06 degree Celsius at 4:00 PM.

Step-by-step explanation:

We have been given that on a hot Saturday morning while people are working inside, the air conditioner keeps the temperature inside the building at 24 degrees C. At noon the air conditioner is turned off, and the people go home. The temperature outside is a constant 35 degrees C for the rest of the afternoon. The time constant for the building is 5 hr. We are asked to find the temperature inside the building at 4:00 PM.

We will use Newton's law of cooling to solve our given problem.

$T(t)=M_0+(T_0-M_0)e^{-kt}$ , where

$T(t)$ = Temperature after t hours.

$M_0$ = Temperature of surrounding environment,

$k$ = Time constant.

$\frac{1}{k}=5\Rightarrow k=\frac{1}{5}$

Upon substituting our given values in Newton's cooling law, we will get:

$T(t)=35+(24-35)e^{-\frac{t}{5}}$

$T(t)=35-11e^{-\frac{t}{5}}$

To find the temperature at 4:00 pm, we will substitute $t=4$ in our formula as:

$T(4)=35-11e^{-\frac{4}{5}}$

$T(4)=35-\frac{11}{e^{\frac{4}{5}}}$

$T(4)=35-\frac{11}{2.2255409284924674}$

$T(4)=35-4.9426186052894379601$

$T(4)=30.05738139471$

$T(4)\approx 30.06$

Therefore, the temperature inside building would be approximately 30.06 degree Celsius at 4:00 PM.

5 0

3 years ago

the ratio of red marbles to yellow marbles placed in a bag is 2:7. More marbles are added to the bag: 3 red and 3 yellow marbles

Anvisha [2.4K]

Answer: False.

Step-by-step explanation:

Initially, the ratio is 2:7

This means that if we have 2 red marbles, we must have 7 yellow ones.

The quotient here is 7/2 = 3.5

Now, if you add 3 marbles of each colour, then we have:

2 + 3 = 5 red marbles

7 + 3 = 10 yellow marbles.

Now the ratio is 5:10

This means that for every 5 red marbles, we have 10 yellow ones.

But now we can divide both numbers by the same positive integer, because they have a common factor equal to 5.

5/5 = 1

10/5 = 2

Then we have:

5:10 = 1:2

So the new ratio is 1:2

Then the ratio changed when we added the new marbles, which means that Maria was wrong.

8 0

3 years ago

You have a tree in your yard 4 ft to the left of and 5 ft in front of the corner of your porch. A circular fence 3 ft in radius

Natalka [10]

Answer:

$(x+4)^2+(y-5)^2=9$

Step-by-step explanation:

If the corner of your porch is the origin

4 ft to the left, x=-4
5 ft in front, y=5

The tree's location is at (-4,5).

A circular fence 3 ft in radius has its center at the tree(-4,5).

We want to determine the equation of a circle with center (-4,5) and radius 3 ft.

The equation of a circle center (h,k) with a radius of r is given as:

$(x-h)^2+(y-k)^2=r^2$

(h,k)=(-4,5), r=3

The equation formed by the fence therefore is:

$(x-(-4))^2+(y-5)^2=3^2\\\\$Simplifying we obtain:\\\\(x+4)^2+(y-5)^2=9$

8 0

3 years ago